Question

Answer the following questions for the function
f(x)=sin(x/4)^2

defined on the interval [-12.266371, 2.241593].

Rememer that you can enter pi for as part of your answer.

a.)f(x) is concave down on the interval ____.

b.) A global minimum for this function occurs at ____.

c.) A local maximum for this function which is not a global
maximum occurs at _____.

d.) The function is increasing on the region _____.

Answer 1

I REALLY NEED HELP ANSWERING THIS. I mange to get b and c but i'm stuck on the other two

Answer 2

What did you get for b & c?

For concavity and increasing, you need to calculate f"(x) within the interval.

Concavity changes when f"(x)=0. f"(x)>0 is concave upwards, and vice versa.

Function's and increasing/decreasing changes only when f'(x)=0. When f'(x)>0 it is increasing, and vice versa.